Introduction
Wenbin Wan
University of Illinois at Urbana-Champaign
Lecture 01 | Aug. 22, 2022
Agenda
Introduction to dynamics of mechanical systems
Syllabus reading
Examples
Lecture Objectives
Provide an overview of the course
Introduce course staff and policy
Brief glimpse into the class
About Me
Wenbin Wan
Ph.D. candidate
Control theory and machine learing research
Advanced Control Research Lab
MechSE
Teaching Assistants
Hold office hours (Starting from Week 2)
Manage online chat (Slack)
Grade homework and exams (Grader: TBD)
Course Website
Content Questions and Discussions
- Office hours
Name Time Location Wenbin Wan Mon 2 p.m. - 3 p.m. TBA Guillermo Colin Navarro Tue 5 p.m. - 7 p.m. TBD Pranav Bhandari Thu 6 p.m. - 8 p.m. TBD - Slack
- Ask content questions
- Have discussions in the right channels
- Start a in-person/online study group
Prerequisites
Dynamics: TAM 212
Differential Equations: Any of MATH 285, MATH 286, MATH 441
Linear Algebra: MATH 257, MATH 415 (credit or concurrent registration)
Circuits: ECE 205 (credit or concurrent registration)
Topic Outline
Mathematical preliminaries
- Complex analysis
- Differential equations
- Characterization, first-order form
- Numerical solutions
- 1st and 2nd order ordinary differential equations (ODEs)
- Solution to linear time-invariant ODEs
- Laplace transforms
- System identification
Topic Outline
Mechanical modeling
- Elements of physical systems
- Free-body diagrams and Newton's second law
- Lagrangian mechanics
- Modal analysis
- Equilibrium points
- Linearization
- Stability of dynamic systems
Topic Outline
Input-Output Response
- Free and forced response
- Convolution
- Transfer functions
- Bode plots
- System representations
Textbook
R. Esfandiari and B. Lu (2018)
Modeling and Analysis of Dynamic Systems
CRC Press.
- The textbook is optional.
Homework Assignments
- Approximately 10 homework assignments
- You are encouraged to collaborate with others in the course, but
- you should hand in only your own work.
- No late homework will be accepted!
- The lowest homework score will be dropped.
- Dates will be clearly identified on Gradescope.
- All assignments will be assigned, submitted, and graded via Gradescope.
- You can get extra credits from homework assignments
- if the homework is LaTeX’d.
- Templates will be provided on Overleaf.
- if the homework is LaTeX’d.
Laboratories
- Managed by Dr. Daniel Block and Lab TAs
- All information on Labs are at http://coecsl.ece.illinois.edu/me340/.
- Lab attendance is compulsory and a passing grade for each of the seven laboratories is expected in this course.
- You must complete the pre-lab assignment and become familiar with that week’s lab handout material before arriving to lab.
- For all lab-related questions should be addressed to the lab TA assigned to your lab section.
- Make use of the lab office hours.
Examinations
- Quizzes (10%)
- In-class
- Quiz 1: 9/16 Fri. (5%)
- Quiz 2: 11/11 Fri. (5%)
- Format: TBA
- Midterm (10%)
- In-class: 10/14 Fri. (format: TBA)
- Final (20%)
- Long exam (format: TBD)
- Non-combined final examination schedule
- Conflict Exams: Requests for a conflict or make-up examination will be individually evaluated. It requires a serious university approved documentation and are (almost) never granted. Please plan accordingly.
Extra Credit
- Participations (up to 1%)
- Attending office hours ( +0.5%)
- Online discussion (+0.5%)
- Homework 0 (+0.5%)
- LaTeX needed, code available on Overleaf
- Need a grade of 2/3 pts to earn this EC
- Typed homework in LaTeX (up to 2.5 %)
- 0.25% per typed homework
- EC qualified for your dropped HW
- TBD (up to 2%)
- You can earn an extra credit (EC) up to 5%.
Course Assessments
| Assessment | Credit | Comment |
|---|---|---|
| HW assignments | 45% | |
| Labs | 15% | Compulsory |
| Quizzes | 10% | Time: TBA |
| Midterm | 10% | Time: TBA |
| Final Exam | 20% | Time: TBA |
| Extra Credit | 5% | TBA |
Grading Scheme
The total percentage
- A, if
- B, if
- C, if
- D, if
- F, if
Name, Year?
Best part of the summer break?
Course Software
MATLAB and Simulink
- MATLAB and Simulink will be used frequently in labs and sometimes in homework assignments.
- At least three ways for accessing the software
- EWS
- Webstore
- Citrix
Course Policy
- Do not cheat [Academic Integrity (UIUC Student Code)]
- On first offense:
- F grade for the course
- Recommendation for removal from the University
- On first offense:
- Please show respect for your classmates by limiting distractive behavior.
- You may use any devices to take notes or for other academic purposes directly related to the class.
- Mute your cell phones and other devices.
- Please keep any side discussions short and quiet.
Email Policy
- Posting content questions to the right channel in Slack
- Sending direct message on Slack to TAs
- Sending email to me for private matters
- Must contain a subject line that begins:
-
[ME340]{your subject here}
-
- Must use your @illinois email
- Send to wenbinw2@illinois.edu
- Must contain a subject line that begins:
How to Ace This Course?
- Attend the lectures
- Take notes
- Turn in your work for feedback (grading)
- Try to explain conceptual ideas to other students
- Ask questions
- Slack
- In-person/online study groups
- Office hours
- Course website: https://go.illinois.edu/me340
- RHF Resources
- Special Accommodations
Introduction to Dynamics of Mechanical Systems
Dynamics
- opposed to statics
- Changing with time:
- Changing with time:
- opposed to statics
Studying systems
- Modeling
- Laws of physics
- Mathematical equations
- Laws of physics
- Analysis
- Design
- Modeling
Many models of dynamic systems are Ordinary Differential Equations (ODEs)
Air conditioner for a cold storage unit (Example 1)
- We have
- Let
- Let
- Let control input
- Let
Matlab Implementation
% let control input be zero: u (t) = 0
function dy = tempDynamics(t,y)
dy = -y + 15;
end_
y_0 = 0; % initial condition
tspan = [0 10]; % time interval
[t,y]=ode45(@tempDynamics, tspan, y_0); % Solve ODE
plot(t,y)
% plot all in one fig.
{Matlab demo}
Cart pendulum (Example 2)
- {Matlab demo}
- Another example: Double pendulum (Lab 7)
ME 340 - Dynamics of Mechanical Systems Introduction Wenbin Wan University of Illinois at Urbana-Champaign Lecture 01 | Aug. 22, 2022